Finding the Third Proportional to 37,791 and 82,743

Step by Step Solution

1. Step 1: Write the proportion equation
   37,791 : 82,743 = 82,743 : x
2. Step 2: Convert to fraction form
   37,791/82,743 = 82,743/x
3. Step 3: Cross multiply
   37,791x = 82,743 × 82,743
4. Step 4: Simplify right side
   37,791x = 6,846,404,049
5. Step 5: Solve for x
   x = 6,846,404,049/37,791
6. Step 6: Final answer
   x = 181,164.93